Find the height $ h $ of a cone if radius $r = 3$ and volume $V = 84.78$.
Answer
$h = 8.9954$
Explanation
To find height $ h $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 84.78 $ and $ r = 3 $ we have:
$$ 84.78 = \dfrac{ 3 ^{ 2 } \cdot h \cdot \pi}{ 3 } $$$$ 84.78 \cdot 3 = 3 ^{ 2 } \cdot h \cdot \pi $$$$ 254.34 = 9 \cdot h \cdot \pi $$$$ h = \dfrac{ 254.34 }{ 9 \, \pi} $$$$ h = 8.9954 $$This page was created using
Cone Calculator